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Simplifying 6n + 3(3n + -8) + -2 = 0 Reorder the terms: 6n + 3(-8 + 3n) + -2 = 0 6n + (-8 * 3 + 3n * 3) + -2 = 0 6n + (-24 + 9n) + -2 = 0 Reorder the terms: -24 + -2 + 6n + 9n = 0 Combine like terms: -24 + -2 = -26 -26 + 6n + 9n = 0 Combine like terms: 6n + 9n = 15n -26 + 15n = 0 Solving -26 + 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 15n = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 15n = 0 + 26 15n = 0 + 26 Combine like terms: 0 + 26 = 26 15n = 26 Divide each side by '15'. n = 1.733333333 Simplifying n = 1.733333333
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